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Calculus 1

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Math Video Library Collection

Quadratic Functions and Graphs

Video Summary:

Consider the graph of The graph is a parabola with vertex (h,k), and vertical line x = h as axis of symmetry. The graph opens upward if a > 0 and downward if a < 0. One method to determine the coordinates of the vertex is to complete the square. Rather than go through the procedure for each individual function, we generalize the result for P(x) = ax² + bx + c. The vertex of the graph of is the lowest point on the graph if a > 0, or highest point on the graph if a < 0. Such points are called extreme points (also extrema, singular: extremum).


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